📜 Theorem, law or theory

Hagen–Poiseuille equation

Ley de Hagen-Poiseuille

Date
1838-1840 · confidence high
Place
Paris, France
Credited to
Jean Léonard Marie Poiseuille (independently, Gotthilf Hagen)
Field
Cosmos & Earth

What was discovered

Physician Poiseuille experimentally determined in Paris how the pressure drop of a Newtonian fluid in laminar flow through a cylindrical tube depends on viscosity, flow rate, tube length and radius. Hagen published an equivalent result in Berlin in 1839.

George Stokes provided in 1845 the full theoretical justification of the law Poiseuille had obtained empirically.

What it led to

  • Analysis of blood flow and design of catheters and IV lines
  • Calculation of airflow in the respiratory tract
  • Foundations of pipe rheology

Links

Sources✓ verified 2026-09-28